Problem

Pathology—Diabetes Proliferation: A chronic illness that has proliferated during the past...

Pathology—Diabetes Proliferation: A chronic illness that has proliferated during the past few decades is diabetes. The total amount spent in the United States annually for diabetes medicines from 1990 to 2011 can be modeled by the power function

 f(x) = x 1.19 + 0.76 0 ≤ x ≤ 21

where x represents the number of years since 1990 and f(x) represents the amount spent on diabetes and metabolic medicines in billions of dollars annually. (Source: Pharmaceutical Preparations Industrial Report.)

(a) Determine the y-intercept and interpret its meaning.


(b) Compute msec for x = 0 and Δx = 10 and interpret its meaning.


(c) Now compute msec for x = 10 and Δx = 10. During which decade did the amount spent on diabetes medicines grow more rapidly?

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